Langevin equation
Schrodinger Langevin Equation and Ion Transport atNano Scale
... Schrödinger-Langevin equation has been constructed for the ion-transport for K-ion ...this equation has been discussed under various physical ...
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Time reversal of the overdamped Langevin equation and Fixman’s law
... This looks quite different from the first order case, but it turns out to exactly agree in the limit of inertia being negligible. Multiplying through by the mobility matrix Z −1 to obtain the random currents, and ...
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Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses
... Fractional Langevin model of memory in financial ...LP: Langevin equation with two fractional ...nonlinear Langevin equation involving two fractional orders with ...
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On implicit impulsive Langevin equation involving mixed order derivatives
... In this paper, we consider a nonlocal boundary value problem of nonlinear implicit impulsive Langevin equation involving mixed order derivatives. Sufficient conditions are constructed to discuss the ...
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On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation
... The Langevin equation (first formulated by Langevin in to give an elaborate de- scription of Brownian motion) is found to be an effective tool to describe the evolution of physical phenomena in ...
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Phase space Langevin equation for spin relaxation in a dc magnetic field
... space Langevin equa- tion for a spin of arbitrary size S placed in a uniform magnetic field in the weak spin-bath coupling ...the Langevin equation is, however, quiet general, hence it also holds for ...
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Nonlinear fractional Caputo Langevin equation with nonlocal Riemann Liouville fractional integral conditions
... 24. Sudsutad, W, Tariboon, J: Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions. J. Appl. Math. ...
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A nonlocal three point inclusion problem of Langevin equation with two different fractional orders
... fractional Langevin equation gives a fractional Gaussian process parameterized by two indices, which pro- vides a more flexible model for fractal processes as compared with the usual one char- acterized by ...
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Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
... In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized ...
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Fractional Langevin Equation in Quantum Systems with Memory Effect
... In this paper, we introduce the fractional generalized Langevin equation (FGLE) in quantum sys- tems with memory effect. For a particular form of memory kernel that characterizes the quantum system, we ...
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On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders
... nonlinear Langevin equation involving Caputo frac- tional derivatives of different orders with nonlinearity depending upon the unknown func- tion together with its Riemann–Liouville fractional integral, ...
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Generalized Langevin equation formulation for anomalous diffusion in the Ising model at the critical temperature
... Despite the above progress achieved, which model best describes an instance of (experimentally) observed anomalous diffusion is often the subject of fierce debate, as evidenced by the recent case of anomalous diffusion ...
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The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions
... the Langevin and deterministic regimes together in this section, since their analytical treatment is ...a Langevin representation, which we take to be a counterpart to the RDME of the previous ...Chemical ...
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A Langevin equation approach to diffusion magnetic resonance imaging
... In this thesis it has been shown how the magnetization dephasing in mag- netic resonance imaging arising from the Brownian motion of the nuclei in a reservoir of infinite extent may be determined by simply writing the ...
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Automatic Simulation of the Chemical Langevin Equation
... Biochemical systems have important practical applications, in particular to understanding critical intra-cellular proc- esses. Often biochemical kinetic models represent cellular processes as systems of chemical ...
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Langevin equation approach to diffusion magnetic resonance imaging
... In this paper we have shown how the magnetization dephasing in magnetic resonance imaging arising from the Brownian motion of the nuclei in a reservoir of infinite ex- tent may be determined by simply writing the ...
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Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
... Ahmad, B, Ntouyas, SK: A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order.. Ahmad, B, Ntouyas, SK: Boundary value problems for [r] ...
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Fluctuation-Response Relation and modeling in systems with fast and slow dynamics
... In this paper we have presented a detailed investigation of the Fluctuation-Response properties of chaotic systems with fast and slow dynamics. The numerical study has been performed on two models, namely the ...
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Viscoelasticity at microscopic and macroscopic scales : characterization and prediction
... Following this conceptual picture of molecule collisions, we can expect the behavior of the passive tracer dispersed in complex fluids is more complicated than that of Brownian particles immersed in viscous fluid. We ...
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Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise
... The essential point of this theorem is that approximation properties alone allow us, in the case of globally Lipschitz Y (which suffices to establish Condition 7.1) and essentially quadratic V , to deduce ergodicity for ...
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